
A Data Engineering Approach to Wave Scattering Analysis with Applications in Radar, Sonar, Medical Diagnostics, Structural Flaw Detection and Intelligent Robotics
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Comprehensive resource exploring how recent advancements in computational capabilities open doors to new applications in wave scattering
A Data Engineering Approach to Wave Scattering Analysis: with Applications in Radar, Sonar, Medical Diagnostics, Structural Flaw Detection and Intelligent Robotics applies scattering analysis to many applications including radar, sonar, medical diagnosis, intelligent robotics, and more, enabling readers to implement new and better measurements with both novel instrumentation and artificial intelligence that automates the interpretation of various (and multiple) imaging data streams. Composed of 10 chapters, this book brings together separate scientific topics that share a common basis of knowledge and their unchanged mathematical techniques to ensure successful results.
Through periodic exercises, this book reinforces the importance of revisiting derivations and reproducing established results. It also delves into the individuals who shaped scientific methods and technologies, exploring 81 notable names and providing insights into their professional journeys.
Classic results from scattering are included in each chapter, and rather than simply pasting in plots from classic papers, these results have largely been reproduced for a more coherent reader experience.
Written by an established academic in the field, A Data Engineering Approach to Wave Scattering Analysis: with Applications in Radar, Sonar, Medical Diagnostics, Structural Flaw Detection and Intelligent Robotics includes information on various topics:
- Field equations, covering strain as a dimensionless measure of deformation, generalized Hooke's Law, and elastic and acoustic waves
- Reflection and refraction, covering reflection from a free surface and surface waves as well as the wave model of acoustic microscopy
- Guided waves, covering torsional modes, longitudinal waves, and flexural waves in rods, as well as data engineering for lamb wave tomography
- Inverse scattering, covering wavelet transforms and fingerprinting as well as applications of wavelet fingerprints such as roof fall detection
A Data Engineering Approach to Wave Scattering Analysis: with Applications in Radar, Sonar, Medical Diagnostics, Structural Flaw Detection and Intelligent Robotics is an essential up-to-date reference on the subject for researchers interested in radar, sonar, medical imaging, structural health monitoring, manufacturing process control, and autonomous vehicles, as well as upper-level undergraduates and graduate students in related programs of study.
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Mark K. Hinders is Professor of Applied Science at the College of William & Mary in Virginia and holds a PhD in Aerospace and Mechanical Engineering from Boston University, USA. Before coming to Williamsburg in 1993, Professor Hinders was Senior Scientist at Massachusetts Technological Laboratory, Inc., and also Research Assistant Professor at Boston University. Professor Hinders conducts research in wave propagation and scattering phenomena applied to medical imaging, intelligent robotics, security screening, remote sensing, and nondestructive evaluation.
Content
About the Author xi
Preface xiii
Acknowledgments xv
Introduction xvii
1 Background 1
1.1 Some History 1
1.1.1 The Titanic Disaster 1
1.1.2 Das Unterseeboot 2
1.1.3 Aircraft Detection 4
1.1.4 Medical Ultrasonography and NDE 6
1.2 Ultrasound Immersion Tank Scans 9
1.3 A-, B-, C-Scans, M-Mode 14
1.4 Monostatic, Bistatic, Doppler 19
1.5 Didey Wagon vs. War Wagon 21
1.6 Acoustic Parametric Arrays 28
1.7 Forward to Scattering 30
References 31
2 Field Equations 35
2.1 Index Notation 35
2.2 Stress Is Force per Unit Area 37
2.2.1 Two-Question Pop Quiz, Pass-Fail 37
2.3 Strain Is Dimensionless 42
2.4 Stress Is Proportional to Strain 45
2.5 Elastic Waves 47
2.6 Electromagnetic Waves 50
2.7 Acoustic Waves 52
2.8 Anisotropic Elastic Solids 53
2.9 Summary 57
3 Boundary Conditions: Continuous and Discretized 61
3.1 Boundary Conditions for E&M 61
3.2 Boundary Conditions for Acoustics 62
3.3 Boundary Conditions for Elastodynamics 65
3.4 Finite Difference Time Domain 67
3.5 Elastodynamic Simulations 79
3.6 The Acoustic Parametric Array 82
References 87
4 Reflection and Refraction 93
4.1 Reflection from a Free Surface 101
4.2 Surface Waves 105
4.3 Acoustic Microscopy 109
4.3.1 V(z) Curves 112
4.3.2 Wave Model of Acoustic Microscopy 115
4.3.3 Detecting Cracks in Teeth 118
4.3.4 Inspection of V22 Hydraulic Lines 121
References 122
5 Guided Waves 125
5.1 Guided Waves in Plates 127
5.2 Cylindrical Guided Waves 135
5.2.1 Torsional Modes in a Rod 139
5.2.2 Longitudinal Waves in a Rod 139
5.2.3 Flexural Waves in a Rod 140
5.3 Guided Waves in Pipes 142
5.4 Data Engineering for Tomography 144
5.4.1 Tomography Overview 148
5.4.2 Fan Beam Tomography 149
5.4.3 Double Crosshole Tomography 150
5.4.4 Arrival Time Determination 153
5.4.5 Curvilinear SIRT 160
References 163
6 Scattering from Spheres 167
6.1 Clebsch-Mie Scattering 167
6.2 Acoustic Scattering from a Sphere 181
6.3 Elastic Wave Sphere Scattering 192
6.4 Incident Transverse Wave 199
6.5 Scattering from Spherical Shells 204
References 207
7 Scattering from Cylinders 209
7.1 Electromagnetic Wave Scattering 209
7.1.1 Incident E-Field Parallel to the xz-Plane 212
7.1.2 Incident E-Field Perpendicular to the xz-Plane 214
7.2 Elastic Wave Scattering 217
7.2.1 Scattering Due to an Incident L-Wave 220
7.2.2 Scattering of Acoustic Waves from an Elastic Cylinder 224
7.2.3 Scattering Due to an Incident T-Wave 227
7.2.3.1 Scattering from an Acoustic Cylinder 231
7.2.4 Limiting Cases 233
7.3 Plate Wave Scattering 237
7.3.1 Flexural Wave Scattering from Cylinders 240
7.3.2 Dilatational Wave Scattering 242
7.4 Thermal "Wave" Scattering 246
7.5 Scattering from a Semicircular Gap in a Ground Plane 248
References 256
8 Scattering from Spheroids and Elliptic Cylinders 259
8.1 Scalar Wave Equation in Elliptic Cylinder Coordinates 260
8.1.1 Separation of Variables 263
8.2 Scattering from a Perfectly-Conducting Elliptic Cylinder 264
8.3 Scattering from a Dielectric Elliptic Cylinder 268
8.3.1 Important Tea About Orthogonality 269
8.3.2 Numerical Implementation of Mathieu Functions 276
8.4 Scattering of Elastic Waves by an Elliptic Cylindrical Inclusion 277
8.5 Scattering from Spheroids 281
References 288
9 Scattering from Parallelepipeds 289
9.1 Integral Equations 289
9.2 High Frequency Scattering and Diffraction Coefficients 295
9.3 Reflection/Transmission by a Slab 311
9.4 Reflection at Conducting Halfspace 314
9.5 Surface Plasmon Polaritons 317
References 321
10 Inverse Scattering 325
10.1 Wavelet Fingerprinting 329
10.2 Wavelet Fingerprints Applied 331
10.2.1 Roof Fall Detection 331
10.2.2 RF Scattering from a Food Truck 334
10.2.3 Time Domain Reflectometry 335
10.2.4 Counterfeit Routers 337
10.2.5 Bladder Distension Monitor 337
10.2.6 RF Occlusion by Building 339
10.3 Conclusions 341
Index 347
1
Background
1.1 Some History
As a child you probably played the swimming pool game of tag where you close your eyes and then repeatedly call out "Marco" with the response "Polo" each time from the other players by which you're supposed to locate them and tag someone who is then it. Biurnal hearing allowed you to tell which direction to lunge, and you could guesstimate who was nearby and who was farther away. The game is a little trickier to play at indoor pools because the acoustic scattering from walls and such can be confounding.
Marco Polo may or may not have traveled from Venice to China, although he did spend a couple of decades travelling and trading along the Silk Road, where he would certainly have picked up a lot of information, such as how to make power smoothies, and trade goods like yak hair [1]. He mistook rhinos for chubby unicorns, which is now a meme. In his book, he also claimed to have been besties with the emperor Kublai Khan. Christopher Columbus brought a copy of that book along with him on his 1492 trip to the Orient, but it turned out to be unhelpful. Navigating the world based on maps pieced together from stories of other travelers is always going to be a bit iffy. Fortunately, over the last century or so there has been a rapid development of navigation technologies.
The Submarine Signal Company, established in 1901 in Boston, was the first commercial enterprise organized to conduct underwater sound research and to develop equipment to be used for increasing the safety of navigation [2]. "Our invention relates to a method of ringing or sounding a bell and also to a system and apparatus for transmitting intelligence between ships at sea and between the shore and any ship by means of sound-signals made in the water at the transmitting-station by electrical means. These sounds are picked up from the water at the receiving-station by means of electrical or mechanical devices." The initial product line included underwater bells for shore-based stations, buoys, and lightships as well as encased microphones for sound detection on the ships [3, 4].
1.1.1 The Titanic Disaster
In 1912, the unsinkable Titanic struck an iceberg and sank [5]. Not long after, Sir Hiram Maxim self-published a short book and submitted a letter to Scientific American [6] in which he asked, "Has Science reached the end of its tether? Is there no possible means of avoiding such a deplorable loss of life and property? Thousands of ships have been lost by running ashore in a fog, hundreds by collisions with other ships or with icebergs, nearly all resulting in great loss of life and property." Maxim noted that collisions often take place in a fog at night when a searchlight is worse than useless because it just illuminates the haze. It was (becoming) known that bats used some form of sound that was outside the range of human hearing in order to echolocate and feed, but he thought it was infrasound rather than ultrasound [7, 8]. Maxim described a concept for a very low-frequency directional steam whistle or siren that could be used to (echo)locate icebergs during foggy nights when collisions were most likely to occur. Whether Maxim's patented apparatus would have been effective at preventing collisions at sea is a question that's a little like whether Da Vinci's contraptions would have flown. He got the general idea right, and can be credited with stimulating the imaginations of those who subsequently worked out all the engineering details.
His sketch, reproduced as Figure 1.1, is quite remarkable. The key idea is that the time delay of the echoes determines distance because the speed of sound is known, but more importantly, the shape of the echoes gives information about the object that is returning those echoes. Analysis of those echo waveforms can, in principle, tell the difference between a ship and an iceberg, and even differentiate large and small icebergs. He even illustrates how clutter affects the echoes differently from backscattering targets. Science has not, in fact, reached the end of its tether, even after a century of further development. This is exactly how radar, sonar, and ultrasound work [9, 10].
Maxim's suggested apparatus embodies a modified form of "siren," through which high-pressure steam can be made to flow in order to produce sound-waves with about 14-15 vibrations per second, and consequently not coming within the range of the human ear. These waves, it is asserted, would be capable of traveling great distances, and if they struck against a body ahead of the ship, they would be reflected toward their source, "echo waves" being formed [11]. This self-published pamphlet was discussed in [12].
1.1.2 Das Unterseeboot
The first submarine to successfully dive, cruise below the water surface, and emerge to the surface again on its own was the Sub Marine Explorer of the German American engineer Julius H. Kroehl, which already comprised many technologies that are still essential to modern submarines [13]. The first submarine built in Germany, the three-man Brandtaucher, sank to the bottom of Kiel harbor on 1 February 1851 during a test dive [14]. The Confederate States of America fielded several human-powered submarines, including CSS H. L. Hunley. The first Confederate submarine was the 30-foot-long Pioneer, which sank a target schooner using a towed mine during tests on Lake Pontchartrain, but it was not used in combat. It was scuttled after New Orleans was captured and in 1868 was sold for scrap, but the similar Bayou St. John submarine is preserved in the Louisiana State Museum. CSS Hunley was intended for attacking Union ships that were blockading Confederate seaports. The submarine had a long pole with an explosive charge in the bow called a spar torpedo. The sub had to approach an enemy vessel, attach the explosive, move away, and then detonate it. It was extremely hazardous to operate, and had no air supply other than what was contained inside the main compartment. On two occasions, the sub sank; on the first occasion, half the crew died, and on the second, the entire eight-man crew (including Hunley himself) drowned. On 17 February 1864, CSS Hunley sank USS Housatonic off the Charleston Harbor, the first time a submarine successfully sank another ship, although it sank in the same engagement shortly after signaling its success. Submarines did not have a major impact on the outcome of the American War Between the States,1 but did portend their coming importance to naval warfare and increased interest in their use in naval warfare.2
Figure 1.1 The infrasonic echo waves would be recorded by a stretched membrane that the infrasound waves would vibrate, and those membrane vibrations could jingle attached bells or wiggle pens tracing lines on paper as Maxim illustrated. Maxim's concept was discussed in Nature, a leading scientific journal yet today.
You almost certainly know Captain Nemo's submarine Nautilus from Jules Verne's Twenty Thousand Leagues Under the Sea (1870), but you may not have read The Mysterious Island (1874) or know that Nemo's fictional craft was named after Robert Fulton's real-life submarine Nautilus (1800). Verne was inspired by the French Navy submarine Plongeur, a model of which he saw at the 1867 Exposition Universelle. The fictional Nautilus was battery powered, not nuclear like today's boomers that can travel way more than 20,000 leagues (not quite three laps around the earth) under the sea, sneaking around for six months at a time just in case they need to destroy the world because reasons.
The Battle of Hampton Roads was the most important naval battle of the American Civil War. It was fought over two days in March 1862, where the Elizabeth and Nansemond rivers meet the James River just before it enters the Chesapeake Bay adjacent to the city of Norfolk, Virginia. The battle was a part of the effort of the Confederacy to break the Union blockade, which had cut off Virginia's largest cities and major industrial centers, Norfolk and Richmond, from international trade. The battle was the first meeting in combat of ironclad warships: USS Monitor and CSS Virginia. USS Monitor was a semisubmersed, iron-hulled steamship and was the first ironclad warship commissioned by the Union Navy. Her remains were found upside down 16 miles off Cape Hatteras in 1973 at a depth of about 240 ft. In 1987, the site was declared a National Marine Sanctuary, the first shipwreck to receive this distinction. Because of Monitor's advanced state of deterioration, recovery of any remaining significant artifacts and ship components was quite urgent. Numerous fragile artifacts, including the innovative turret and its two Dahlgren guns, an anchor, steam engine, and propeller, were recovered. They were transported to the Mariners' Museum in Newport News, where a full-scale copy of USS Monitor, the original recovered turret, and a variety of artifacts and related items are on display.3 Also in Newport News is the largest military shipbuilder in the United States and sole designer, builder, and refueler of nuclear-powered aircraft carriers. HII is responsible for building more current aircraft carriers than the rest of the world's navies put together. Virginia would be a superpower if they seceded today.
Most consider French physicist Pierre Curie's discovery of piezoelectricity in 1877 to be the moment...
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